VM, I didn’t think it was about gedolei haposkim being biased, ch’v.
My point was that I don’t think gedolei haposkim are shy about giving their psak, so anyone with a bikush haemes should be able to get an unbiased psak.
You actually asked two different questions, and I think Logician and I each answered a different one.
I was answering for the rabbanim. I think it’s their responsibility, and that they have the ability to, find out what the consensus of the gedolei haposkim is, and I am suggesting that they generally pasken accordingly.
Logician is taking the next step, referring to the part of your question dealing with the public. It is up to each individual to choose a competent posek who is not swayed by external factors. If an ehrlich person chooses a posek based on competence rather than how meikil the posek is, and the posek avoids being swayed by people with agendas, we should hopefully arrive at your desire, an unbiased halachic system.